404428187520 has 1536 divisors, whose sum is σ = 1831828608000. Its totient is φ = 83691159552.

The previous prime is 404428187503. The next prime is 404428187549. The reversal of 404428187520 is 25781824404.

404428187520 is a `hidden beast` number, since 4 + 0 + 4 + 42 + 8 + 1 + 87 + 520 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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, 370016094 + ... + 370017186.

It is an arithmetic number, because the mean of its divisors is an integer number (1192596750).

Almost surely, 2^404428187520 is an apocalyptic number.

404428187520 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 404428187520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915914304000).

404428187520 is an abundant number, since it is smaller than the sum of its proper divisors (1427400420480).

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

404428187520 is a wasteful number, since it uses less digits than its factorization.

404428187520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 404428187520 in words is "four hundred four billion, four hundred twenty-eight million, one hundred eighty-seven thousand, five hundred twenty".