40052416168080 has 400 divisors, whose sum is σ = 141290033537664. Its totient is φ = 10513346088960.

The previous prime is 40052416168069. The next prime is 40052416168139. The reversal of 40052416168080 is 8086161425004.

It is a happy number.

40052416168080 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 24 + 1 + 616 + 8 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 590857869 + ... + 590925651.

Almost surely, 2^{40052416168080} is an apocalyptic number.

40052416168080 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 40052416168080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70645016768832).

40052416168080 is an abundant number, since it is smaller than the sum of its proper divisors (101237617369584).

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

40052416168080 is a wasteful number, since it uses less digits than its factorization.

40052416168080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69236 (or 69221 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 40052416168080 in words is "forty trillion, fifty-two billion, four hundred sixteen million, one hundred sixty-eight thousand, eighty".