40109475954240 has 4032 divisors, whose sum is σ = 190374744268800. Its totient is φ = 7668709171200.

The previous prime is 40109475954187. The next prime is 40109475954259. The reversal of 40109475954240 is 4245957490104.

40109475954240 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 9 + 4 + 7 + 59 + 542 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×40109475954240² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 240176502637 + ... + 240176502803.

It is an arithmetic number, because the mean of its divisors is an integer number (47215958400).

Almost surely, 2^{40109475954240} is an apocalyptic number.

40109475954240 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 40109475954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95187372134400).

40109475954240 is an abundant number, since it is smaller than the sum of its proper divisors (150265268314560).

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

40109475954240 is a wasteful number, since it uses less digits than its factorization.

40109475954240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 40109475954240 in words is "forty trillion, one hundred nine billion, four hundred seventy-five million, nine hundred fifty-four thousand, two hundred forty".