25400706240 has 672 divisors, whose sum is σ = 102594582720. Its totient is φ = 5276565504.

The previous prime is 25400706223. The next prime is 25400706269. The reversal of 25400706240 is 4260700452.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 25400706198 and 25400706207.

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, 44640676 + ... + 44641244.

It is an arithmetic number, because the mean of its divisors is an integer number (152670510).

Almost surely, 2^25400706240 is an apocalyptic number.

25400706240 is a gapful number since it is divisible by the number (20) 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 25400706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51297291360).

25400706240 is an abundant number, since it is smaller than the sum of its proper divisors (77193876480).

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

25400706240 is a wasteful number, since it uses less digits than its factorization.

25400706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The spelling of 25400706240 in words is "twenty-five billion, four hundred million, seven hundred six thousand, two hundred forty".