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40374043920 = 243357217191181
BaseRepresentation
bin100101100110011110…
…110000010100010000
310212012201212221022000
4211212132300110100
51130141223401140
630314135514000
72626335465600
oct454636602420
9125181787260
1040374043920
1116139105851
1279a9228900
133a65706722
141d50136c00
1510b476ea30
hex9667b0510

40374043920 has 960 divisors, whose sum is σ = 180454521600. Its totient is φ = 8221409280.

The previous prime is 40374043907. The next prime is 40374043943. The reversal of 40374043920 is 2934047304.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34185730 + ... + 34186910.

It is an arithmetic number, because the mean of its divisors is an integer number (187973460).

Almost surely, 240374043920 is an apocalyptic number.

40374043920 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 40374043920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90227260800).

40374043920 is an abundant number, since it is smaller than the sum of its proper divisors (140080477680).

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

40374043920 is a wasteful number, since it uses less digits than its factorization.

40374043920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 40374043920 in words is "forty billion, three hundred seventy-four million, forty-three thousand, nine hundred twenty".