425617727040 has 784 divisors, whose sum is σ = 1693449780480. Its totient is φ = 100956119040.

The previous prime is 425617726997. The next prime is 425617727083. The reversal of 425617727040 is 40727716524.

425617727040 is a `hidden beast` number, since 4 + 2 + 5 + 617 + 7 + 27 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (425617726997) and next prime (425617727083).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 120603996 + ... + 120607524.

Almost surely, 2^425617727040 is an apocalyptic number.

425617727040 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 425617727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846724890240).

425617727040 is an abundant number, since it is smaller than the sum of its proper divisors (1267832053440).

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

425617727040 is a wasteful number, since it uses less digits than its factorization.

425617727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 425617727040 in words is "four hundred twenty-five billion, six hundred seventeen million, seven hundred twenty-seven thousand, forty".