224625623040 has 1632 divisors, whose sum is σ = 1025952485376. Its totient is φ = 45864714240.

The previous prime is 224625622987. The next prime is 224625623063. The reversal of 224625623040 is 40326526422.

224625623040 is a `hidden beast` number, since 2 + 2 + 4 + 6 + 25 + 623 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×224625623040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 224625622986 and 224625623004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7245987825 + ... + 7245987855.

Almost surely, 2^224625623040 is an apocalyptic number.

224625623040 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 224625623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512976242688).

224625623040 is an abundant number, since it is smaller than the sum of its proper divisors (801326862336).

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

224625623040 is an frugal number, since it uses more digits than its factorization.

224625623040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 224625623040 in words is "two hundred twenty-four billion, six hundred twenty-five million, six hundred twenty-three thousand, forty".