425513759040 has 672 divisors, whose sum is σ = 1573048867104. Its totient is φ = 105201008640.

The previous prime is 425513759029. The next prime is 425513759081. The reversal of 425513759040 is 40957315524.

425513759040 is a `hidden beast` number, since 4 + 2 + 5 + 5 + 13 + 7 + 590 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 54997056 + 425458761984 = 7416^2 + 652272^2 .

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, 1514283700 + ... + 1514283980.

Almost surely, 2^425513759040 is an apocalyptic number.

425513759040 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 425513759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786524433552).

425513759040 is an abundant number, since it is smaller than the sum of its proper divisors (1147535108064).

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

425513759040 is a wasteful number, since it uses less digits than its factorization.

425513759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 425513759040 in words is "four hundred twenty-five billion, five hundred thirteen million, seven hundred fifty-nine thousand, forty".