423015115532400 has 960 divisors, whose sum is σ = 1536159379507200. Its totient is φ = 110539205038080.

The previous prime is 423015115532279. The next prime is 423015115532413. The reversal of 423015115532400 is 4235511510324.

423015115532400 is a `hidden beast` number, since 4 + 2 + 3 + 0 + 1 + 5 + 115 + 532 + 4 + 0 + 0 = 666.

It is a super-3 number, since 3×423015115532400³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 191150073694 + ... + 191150075906.

It is an arithmetic number, because the mean of its divisors is an integer number (1600166020320).

Almost surely, 2^{423015115532400} is an apocalyptic number.

423015115532400 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 423015115532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768079689753600).

423015115532400 is an abundant number, since it is smaller than the sum of its proper divisors (1113144263974800).

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

423015115532400 is a wasteful number, since it uses less digits than its factorization.

423015115532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3903 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 423015115532400 in words is "four hundred twenty-three trillion, fifteen billion, one hundred fifteen million, five hundred thirty-two thousand, four hundred".