427379610240 has 576 divisors, whose sum is σ = 1663804864800. Its totient is φ = 100250726400.

The previous prime is 427379610239. The next prime is 427379610247. The reversal of 427379610240 is 42016973724.

427379610240 is a `hidden beast` number, since 4 + 2 + 7 + 3 + 7 + 9 + 610 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (427379610247) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60885451 + ... + 60892469.

Almost surely, 2^427379610240 is an apocalyptic number.

427379610240 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 427379610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831902432400).

427379610240 is an abundant number, since it is smaller than the sum of its proper divisors (1236425254560).

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

427379610240 is a wasteful number, since it uses less digits than its factorization.

427379610240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7117 (or 7071 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 427379610240 in words is "four hundred twenty-seven billion, three hundred seventy-nine million, six hundred ten thousand, two hundred forty".