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425416458240 = 2183454007
BaseRepresentation
bin1100011000011001100…
…11000000000000000000
31111200002000010020010000
412030030303000000000
523432223103130430
6523233355040000
742510134142234
oct6141463000000
91450060106100
10425416458240
11154466555694
126a547140000
1331169229447
14168399965c4
15b0ece30e60
hex630ccc0000

425416458240 has 380 divisors, whose sum is σ = 1525574506896. Its totient is φ = 113416077312.

The previous prime is 425416458211. The next prime is 425416458277. The reversal of 425416458240 is 42854614524.

425416458240 is a `hidden beast` number, since 4 + 2 + 5 + 4 + 1 + 64 + 582 + 4 + 0 = 666.

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

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106166317 + ... + 106170323.

Almost surely, 2425416458240 is an apocalyptic number.

425416458240 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 425416458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762787253448).

425416458240 is an abundant number, since it is smaller than the sum of its proper divisors (1100158048656).

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

425416458240 is an frugal number, since it uses more digits than its factorization.

425416458240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4060 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 425416458240 in words is "four hundred twenty-five billion, four hundred sixteen million, four hundred fifty-eight thousand, two hundred forty".