214125454024240 has 960 divisors, whose sum is σ = 596268932345856. Its totient is φ = 71273297920000.

The previous prime is 214125454024213. The next prime is 214125454024247. The reversal of 214125454024240 is 42420454521412.

It is a super-2 number, since 2×214125454024240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 214125454024193 and 214125454024202.

It is not an unprimeable number, because it can be changed into a prime (214125454024247) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87720381420 + ... + 87720383860.

Almost surely, 2^{214125454024240} is an apocalyptic number.

214125454024240 is a gapful number since it is divisible by the number (20) 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 214125454024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298134466172928).

214125454024240 is an abundant number, since it is smaller than the sum of its proper divisors (382143478321616).

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

214125454024240 is a wasteful number, since it uses less digits than its factorization.

214125454024240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 40.

The spelling of 214125454024240 in words is "two hundred fourteen trillion, one hundred twenty-five billion, four hundred fifty-four million, twenty-four thousand, two hundred forty".