40457850860160 has 384 divisors, whose sum is σ = 146143924392960. Its totient is φ = 10293935308800.

The previous prime is 40457850860159. The next prime is 40457850860201. The reversal of 40457850860160 is 6106805875404.

40457850860160 is a `hidden beast` number, since 4 + 0 + 4 + 5 + 78 + 508 + 6 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 40457850860097 and 40457850860106.

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, 52743697 + ... + 53505263.

It is an arithmetic number, because the mean of its divisors is an integer number (380583136440).

Almost surely, 2^{40457850860160} is an apocalyptic number.

40457850860160 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 40457850860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73071962196480).

40457850860160 is an abundant number, since it is smaller than the sum of its proper divisors (105686073532800).

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

40457850860160 is a wasteful number, since it uses less digits than its factorization.

40457850860160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762016 (or 762001 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 40457850860160 in words is "forty trillion, four hundred fifty-seven billion, eight hundred fifty million, eight hundred sixty thousand, one hundred sixty".