401418624000 has 704 divisors, whose sum is σ = 1444504688640. Its totient is φ = 98603827200.

The previous prime is 401418623999. The next prime is 401418624007. The reversal of 401418624000 is 426814104.

It is a super-2 number, since 2×401418624000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401418624007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269951257 + ... + 269952743.

Almost surely, 2^401418624000 is an apocalyptic number.

401418624000 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 401418624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722252344320).

401418624000 is an abundant number, since it is smaller than the sum of its proper divisors (1043086064640).

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

401418624000 is a wasteful number, since it uses less digits than its factorization.

401418624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 401418624000 in words is "four hundred one billion, four hundred eighteen million, six hundred twenty-four thousand".