31420514400 has 576 divisors, whose sum is σ = 115080134400. Its totient is φ = 7382016000.

The previous prime is 31420514393. The next prime is 31420514407. The reversal of 31420514400 is 441502413.

It is an interprime number because it is at equal distance from previous prime (31420514393) and next prime (31420514407).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31420514407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175533511 + ... + 175533689.

It is an arithmetic number, because the mean of its divisors is an integer number (199791900).

Almost surely, 2^31420514400 is an apocalyptic number.

31420514400 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 31420514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57540067200).

31420514400 is an abundant number, since it is smaller than the sum of its proper divisors (83659620000).

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

31420514400 is a wasteful number, since it uses less digits than its factorization.

31420514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 370 counting only the distinct ones).

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

The spelling of 31420514400 in words is "thirty-one billion, four hundred twenty million, five hundred fourteen thousand, four hundred".