11270125440 has 576 divisors, whose sum is σ = 45975018960. Its totient is φ = 2536095744.

The previous prime is 11270125439. The next prime is 11270125567. The reversal of 11270125440 is 4452107211.

11270125440 is a `hidden beast` number, since 112 + 7 + 0 + 1 + 2 + 544 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20603247 + ... + 20603793.

Almost surely, 2^11270125440 is an apocalyptic number.

11270125440 is a gapful number since it is divisible by the number (10) 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 11270125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22987509480).

11270125440 is an abundant number, since it is smaller than the sum of its proper divisors (34704893520).

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

11270125440 is a wasteful number, since it uses less digits than its factorization.

11270125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 11270125440 in words is "eleven billion, two hundred seventy million, one hundred twenty-five thousand, four hundred forty".