427501972800 has 672 divisors, whose sum is σ = 1798794512640. Its totient is φ = 96740352000.

The previous prime is 427501972771. The next prime is 427501972883. The reversal of 427501972800 is 8279105724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 30535402 + ... + 30549398.

Almost surely, 2^427501972800 is an apocalyptic number.

427501972800 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 427501972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899397256320).

427501972800 is an abundant number, since it is smaller than the sum of its proper divisors (1371292539840).

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

427501972800 is a wasteful number, since it uses less digits than its factorization.

427501972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14136 (or 14115 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

It can be divided in two parts, 427501 and 972800, that added together give a triangular number (1400301 = T₁₆₇₃).

The spelling of 427501972800 in words is "four hundred twenty-seven billion, five hundred one million, nine hundred seventy-two thousand, eight hundred".