625400400000 has 192 divisors, whose sum is σ = 2076395852160. Its totient is φ = 166773120000.

The previous prime is 625400399989. The next prime is 625400400011. The reversal of 625400400000 is 4004526.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (625400399989) and next prime (625400400011).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×625400400000² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 625400400000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 939417 + ... + 1460583.

It is an arithmetic number, because the mean of its divisors is an integer number (10814561730).

Almost surely, 2^625400400000 is an apocalyptic number.

625400400000 is a gapful number since it is divisible by the number (60) 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 625400400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038197926080).

625400400000 is an abundant number, since it is smaller than the sum of its proper divisors (1450995452160).

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

625400400000 is an frugal number, since it uses more digits than its factorization.

625400400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521209 (or 521177 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 625400400000 its reverse (4004526), we get a palindrome (625404404526).

The spelling of 625400400000 in words is "six hundred twenty-five billion, four hundred million, four hundred thousand".