401354412000 has 384 divisors, whose sum is σ = 1354275127296. Its totient is φ = 103846400000.

The previous prime is 401354411987. The next prime is 401354412013. The reversal of 401354412000 is 214453104.

It is an interprime number because it is at equal distance from previous prime (401354411987) and next prime (401354412013).

It is a super-2 number, since 2×401354412000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93969865 + ... + 93974135.

It is an arithmetic number, because the mean of its divisors is an integer number (3526758144).

Almost surely, 2^401354412000 is an apocalyptic number.

401354412000 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 401354412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677137563648).

401354412000 is an abundant number, since it is smaller than the sum of its proper divisors (952920715296).

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

401354412000 is a wasteful number, since it uses less digits than its factorization.

401354412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4531 (or 4513 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 401354412000 its reverse (214453104), we get a palindrome (401568865104).

The spelling of 401354412000 in words is "four hundred one billion, three hundred fifty-four million, four hundred twelve thousand".