40420540160 has 288 divisors, whose sum is σ = 129999969792. Its totient is φ = 11629117440.

The previous prime is 40420540091. The next prime is 40420540177. The reversal of 40420540160 is 6104502404.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1265507 + ... + 1297053.

It is an arithmetic number, because the mean of its divisors is an integer number (451388784).

Almost surely, 2^40420540160 is an apocalyptic number.

40420540160 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 40420540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64999984896).

40420540160 is an abundant number, since it is smaller than the sum of its proper divisors (89579429632).

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

40420540160 is a wasteful number, since it uses less digits than its factorization.

40420540160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31599 (or 31585 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The spelling of 40420540160 in words is "forty billion, four hundred twenty million, five hundred forty thousand, one hundred sixty".