1157082071040 has 1200 divisors, whose sum is σ = 4910016988800. Its totient is φ = 255058771968.

The previous prime is 1157082070957. The next prime is 1157082071051. The reversal of 1157082071040 is 401702807511.

1157082071040 is a `hidden beast` number, since 1 + 1 + 570 + 82 + 0 + 7 + 1 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1157082070986 and 1157082071004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1347010131 + ... + 1347010989.

It is an arithmetic number, because the mean of its divisors is an integer number (4091680824).

Almost surely, 2^{1157082071040} is an apocalyptic number.

1157082071040 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 1157082071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455008494400).

1157082071040 is an abundant number, since it is smaller than the sum of its proper divisors (3752934917760).

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

1157082071040 is an frugal number, since it uses more digits than its factorization.

1157082071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

Adding to 1157082071040 its reverse (401702807511), we get a palindrome (1558784878551).

The spelling of 1157082071040 in words is "one trillion, one hundred fifty-seven billion, eighty-two million, seventy-one thousand, forty".