10457511240000 has 1680 divisors, whose sum is σ = 40691490554880. Its totient is φ = 2349035520000.

The previous prime is 10457511239957. The next prime is 10457511240023. The reversal of 10457511240000 is 4211575401.

It is a super-3 number, since 3×10457511240000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 10457511240000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 30136919827 + ... + 30136920173.

Almost surely, 2^{10457511240000} is an apocalyptic number.

10457511240000 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 10457511240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20345745277440).

10457511240000 is an abundant number, since it is smaller than the sum of its proper divisors (30233979314880).

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

10457511240000 is a wasteful number, since it uses less digits than its factorization.

10457511240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The spelling of 10457511240000 in words is "ten trillion, four hundred fifty-seven billion, five hundred eleven million, two hundred forty thousand".