31443140400 has 240 divisors, whose sum is σ = 117285421824. Its totient is φ = 7051299840.

The previous prime is 31443140363. The next prime is 31443140437. The reversal of 31443140400 is 404134413.

It is an interprime number because it is at equal distance from previous prime (31443140363) and next prime (31443140437).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×31443140400² (a number of 22 digits) contains 22 as substring.

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

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, 409887 + ... + 480513.

Almost surely, 2^31443140400 is an apocalyptic number.

31443140400 is a gapful number since it is divisible by the number (30) 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 31443140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58642710912).

31443140400 is an abundant number, since it is smaller than the sum of its proper divisors (85842281424).

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

31443140400 is a wasteful number, since it uses less digits than its factorization.

31443140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70708 (or 70697 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 31443140400 its reverse (404134413), we get a palindrome (31847274813).

The spelling of 31443140400 in words is "thirty-one billion, four hundred forty-three million, one hundred forty thousand, four hundred".