401629962240 has 672 divisors, whose sum is σ = 1534982248800. Its totient is φ = 96514080768.

The previous prime is 401629962199. The next prime is 401629962257. The reversal of 401629962240 is 42269926104.

401629962240 is a `hidden beast` number, since 4 + 0 + 16 + 2 + 9 + 9 + 622 + 4 + 0 = 666.

It is a super-2 number, since 2×401629962240² (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 47 ways as a sum of consecutive naturals, for example, 206068786 + ... + 206070734.

It is an arithmetic number, because the mean of its divisors is an integer number (2284199775).

Almost surely, 2^401629962240 is an apocalyptic number.

401629962240 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 401629962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767491124400).

401629962240 is an abundant number, since it is smaller than the sum of its proper divisors (1133352286560).

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

401629962240 is a wasteful number, since it uses less digits than its factorization.

401629962240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 401629962240 in words is "four hundred one billion, six hundred twenty-nine million, nine hundred sixty-two thousand, two hundred forty".