402578117172 has 480 divisors, whose sum is σ = 1393742972160. Its totient is φ = 98099527680.

The previous prime is 402578117129. The next prime is 402578117203. The reversal of 402578117172 is 271711875204.

It is a happy number.

402578117172 is a `hidden beast` number, since 4 + 0 + 2 + 578 + 1 + 1 + 7 + 1 + 72 = 666.

It is a super-2 number, since 2×402578117172² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 149711604 + ... + 149714292.

It is an arithmetic number, because the mean of its divisors is an integer number (2903631192).

Almost surely, 2^402578117172 is an apocalyptic number.

402578117172 is a gapful number since it is divisible by the number (42) 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 402578117172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696871486080).

402578117172 is an abundant number, since it is smaller than the sum of its proper divisors (991164854988).

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

402578117172 is a wasteful number, since it uses less digits than its factorization.

402578117172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The spelling of 402578117172 in words is "four hundred two billion, five hundred seventy-eight million, one hundred seventeen thousand, one hundred seventy-two".