1157410007040 has 768 divisors, whose sum is σ = 4509495244800. Its totient is φ = 247534977024.

The previous prime is 1157410007027. The next prime is 1157410007051. The reversal of 1157410007040 is 407000147511.

It is a tau number, because it is divible by the number of its divisors (768).

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 = 1157410006989 and 1157410007007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 339116374 + ... + 339119786.

It is an arithmetic number, because the mean of its divisors is an integer number (5871738600).

Almost surely, 2^{1157410007040} is an apocalyptic number.

1157410007040 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 1157410007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254747622400).

1157410007040 is an abundant number, since it is smaller than the sum of its proper divisors (3352085237760).

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

1157410007040 is a wasteful number, since it uses less digits than its factorization.

1157410007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The spelling of 1157410007040 in words is "one trillion, one hundred fifty-seven billion, four hundred ten million, seven thousand, forty".