425177781600 has 288 divisors, whose sum is σ = 1625904935424. Its totient is φ = 95144601600.

The previous prime is 425177781599. The next prime is 425177781617. The reversal of 425177781600 is 6187771524.

It is a super-2 number, since 2×425177781600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 425177781600.

It is a congruent number.

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, 276232 + ... + 962631.

It is an arithmetic number, because the mean of its divisors is an integer number (5645503248).

Almost surely, 2^425177781600 is an apocalyptic number.

425177781600 is a gapful number since it is divisible by the number (40) 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 425177781600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812952467712).

425177781600 is an abundant number, since it is smaller than the sum of its proper divisors (1200727153824).

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

425177781600 is a wasteful number, since it uses less digits than its factorization.

425177781600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238910 (or 1238897 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 48.

The spelling of 425177781600 in words is "four hundred twenty-five billion, one hundred seventy-seven million, seven hundred eighty-one thousand, six hundred".