1156777025040 has 2240 divisors, whose sum is σ = 5253714740736. Its totient is φ = 230255198208.

The previous prime is 1156777025029. The next prime is 1156777025081. The reversal of 1156777025040 is 405207776511.

1156777025040 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 77 + 70 + 2 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 8443627852 + ... + 8443627988.

Almost surely, 2^{1156777025040} is an apocalyptic number.

1156777025040 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 1156777025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626857370368).

1156777025040 is an abundant number, since it is smaller than the sum of its proper divisors (4096937715696).

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

1156777025040 is a wasteful number, since it uses less digits than its factorization.

1156777025040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 1156777025040 in words is "one trillion, one hundred fifty-six billion, seven hundred seventy-seven million, twenty-five thousand, forty".