404151249051648 has 672 divisors, whose sum is σ = 1340853764515200. Its totient is φ = 114902193143808.

The previous prime is 404151249051629. The next prime is 404151249051659. The reversal of 404151249051648 is 846150942151404.

It is a happy number.

404151249051648 is a `hidden beast` number, since 4 + 0 + 4 + 15 + 1 + 24 + 90 + 516 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×404151249051648² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404151249051594 and 404151249051603.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178118663058 + ... + 178118665326.

Almost surely, 2^{404151249051648} is an apocalyptic number.

404151249051648 is a gapful number since it is divisible by the number (48) 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 404151249051648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670426882257600).

404151249051648 is an abundant number, since it is smaller than the sum of its proper divisors (936702515463552).

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

404151249051648 is a wasteful number, since it uses less digits than its factorization.

404151249051648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3860 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 404151249051648 in words is "four hundred four trillion, one hundred fifty-one billion, two hundred forty-nine million, fifty-one thousand, six hundred forty-eight".