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40910192640 = 220335172
BaseRepresentation
bin100110000110011100…
…000000000000000000
310220121002202010002000
4212012130000000000
51132241002131030
630443251224000
72645535620442
oct460634000000
9126532663060
1040910192640
1116393812269
127b188a8000
133b1c8073a5
141da141c492
1510e6878860
hex986700000

40910192640 has 504 divisors, whose sum is σ = 154518085680. Its totient is φ = 10267656192.

The previous prime is 40910192633. The next prime is 40910192669. The reversal of 40910192640 is 4629101904.

It is a happy number.

40910192640 is a `hidden beast` number, since 4 + 0 + 9 + 1 + 0 + 1 + 9 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40910192595 and 40910192604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2406481912 + ... + 2406481928.

Almost surely, 240910192640 is an apocalyptic number.

40910192640 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 40910192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77259042840).

40910192640 is an abundant number, since it is smaller than the sum of its proper divisors (113607893040).

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

40910192640 is an frugal number, since it uses more digits than its factorization.

40910192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 40910192640 in words is "forty billion, nine hundred ten million, one hundred ninety-two thousand, six hundred forty".