31401541400 has 96 divisors (see below), whose sum is σ = 73935558000. Its totient is φ = 12402163200.

The previous prime is 31401541393. The next prime is 31401541403. The reversal of 31401541400 is 414510413.

It is a super-3 number, since 3×31401541400³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31401541403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5152355 + ... + 5158445.

Almost surely, 2^31401541400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31401541400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36967779000).

31401541400 is an abundant number, since it is smaller than the sum of its proper divisors (42534016600).

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

31401541400 is a wasteful number, since it uses less digits than its factorization.

31401541400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6429 (or 6420 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The spelling of 31401541400 in words is "thirty-one billion, four hundred one million, five hundred forty-one thousand, four hundred".