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40723028976 = 2437331731093
BaseRepresentation
bin100101111011010010…
…000001101111110000
310220010001120012210110
4211323102001233300
51131400043411401
630412523501320
72641104015000
oct457322015760
9126101505713
1040723028976
11162a80a7453
127a86087840
133abcac5966
141d8461c000
1510d52079d6
hex97b481bf0

40723028976 has 320 divisors, whose sum is σ = 128493363200. Its totient is φ = 11095418880.

The previous prime is 40723028953. The next prime is 40723028993. The reversal of 40723028976 is 67982032704.

40723028976 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 (48).

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, 37257486 + ... + 37258578.

It is an arithmetic number, because the mean of its divisors is an integer number (401541760).

Almost surely, 240723028976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40723028976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64246681600).

40723028976 is an abundant number, since it is smaller than the sum of its proper divisors (87770334224).

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

40723028976 is a wasteful number, since it uses less digits than its factorization.

40723028976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 40723028976 in words is "forty billion, seven hundred twenty-three million, twenty-eight thousand, nine hundred seventy-six".