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40914704880 = 24335719142421
BaseRepresentation
bin100110000110101101…
…001101100111110000
310220121102020100201000
4212012231031213300
51132243131024010
630443532042000
72645622152610
oct460655154760
9126542210630
1040914704880
1116396314395
127b1a303300
133b2072715a
141da1c74a40
1510e6e6a7c0
hex986b4d9f0

40914704880 has 320 divisors, whose sum is σ = 169539148800. Its totient is φ = 8859663360.

The previous prime is 40914704869. The next prime is 40914704893. The reversal of 40914704880 is 8840741904.

40914704880 is a `hidden beast` number, since 40 + 91 + 47 + 0 + 488 + 0 = 666.

40914704880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216070 + ... + 358490.

It is an arithmetic number, because the mean of its divisors is an integer number (529809840).

Almost surely, 240914704880 is an apocalyptic number.

40914704880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40914704880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84769574400).

40914704880 is an abundant number, since it is smaller than the sum of its proper divisors (128624443920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40914704880 is a wasteful number, since it uses less digits than its factorization.

40914704880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142469 (or 142457 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 40914704880 in words is "forty billion, nine hundred fourteen million, seven hundred four thousand, eight hundred eighty".