11457040140000 has 4800 divisors, whose sum is σ = 56331184250880. Its totient is φ = 2217093120000.

The previous prime is 11457040139971. The next prime is 11457040140011. The reversal of 11457040140000 is 4104075411.

11457040140000 is a `hidden beast` number, since 1 + 14 + 570 + 40 + 1 + 40 + 0 + 0 + 0 = 666.

11457040140000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 799 ways as a sum of consecutive naturals, for example, 105110459946 + ... + 105110460054.

Almost surely, 2^{11457040140000} is an apocalyptic number.

11457040140000 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 11457040140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28165592125440).

11457040140000 is an abundant number, since it is smaller than the sum of its proper divisors (44874144110880).

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

11457040140000 is a wasteful number, since it uses less digits than its factorization.

11457040140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 193 counting only the distinct ones).

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

The spelling of 11457040140000 in words is "eleven trillion, four hundred fifty-seven billion, forty million, one hundred forty thousand".