401770632960 has 216 divisors, whose sum is σ = 1391860491840. Its totient is φ = 107001962496.

The previous prime is 401770632943. The next prime is 401770632979. The reversal of 401770632960 is 69236077104.

401770632960 is a `hidden beast` number, since 4 + 0 + 1 + 7 + 7 + 0 + 632 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×401770632960² (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 9159561 + ... + 9203319.

Almost surely, 2^401770632960 is an apocalyptic number.

401770632960 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 401770632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695930245920).

401770632960 is an abundant number, since it is smaller than the sum of its proper divisors (990089858880).

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

401770632960 is a wasteful number, since it uses less digits than its factorization.

401770632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44583 (or 44566 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 401770632960 in words is "four hundred one billion, seven hundred seventy million, six hundred thirty-two thousand, nine hundred sixty".