40570873491456 has 1560 divisors, whose sum is σ = 154891144235520. Its totient is φ = 10355047464960.

The previous prime is 40570873491439. The next prime is 40570873491469. The reversal of 40570873491456 is 65419437807504.

40570873491456 is a `hidden beast` number, since 4 + 0 + 5 + 70 + 8 + 73 + 49 + 1 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 40570873491393 and 40570873491402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16579840825 + ... + 16579843271.

Almost surely, 2^{40570873491456} 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 40570873491456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77445572117760).

40570873491456 is an abundant number, since it is smaller than the sum of its proper divisors (114320270744064).

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

40570873491456 is a wasteful number, since it uses less digits than its factorization.

40570873491456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2529 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 40570873491456 in words is "forty trillion, five hundred seventy billion, eight hundred seventy-three million, four hundred ninety-one thousand, four hundred fifty-six".