40724894290896 has 240 divisors, whose sum is σ = 118282126959360. Its totient is φ = 13070554398720.

The previous prime is 40724894290877. The next prime is 40724894290999. The reversal of 40724894290896 is 69809249842704.

40724894290896 is a `hidden beast` number, since 4 + 0 + 7 + 248 + 9 + 4 + 290 + 8 + 96 = 666.

It is a super-2 number, since 2×40724894290896² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1150630576 + ... + 1150665968.

It is an arithmetic number, because the mean of its divisors is an integer number (492842195664).

Almost surely, 2^{40724894290896} 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 40724894290896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59141063479680).

40724894290896 is an abundant number, since it is smaller than the sum of its proper divisors (77557232668464).

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

40724894290896 is a wasteful number, since it uses less digits than its factorization.

40724894290896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37994 (or 37985 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 40724894290896 in words is "forty trillion, seven hundred twenty-four billion, eight hundred ninety-four million, two hundred ninety thousand, eight hundred ninety-six".