1151011115040 has 96 divisors (see below), whose sum is σ = 3626140041216. Its totient is φ = 306897776640.

The previous prime is 1151011115039. The next prime is 1151011115057. The reversal of 1151011115040 is 405111101511.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1151011115040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1151011114998 and 1151011115016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3785304 + ... + 4078056.

It is an arithmetic number, because the mean of its divisors is an integer number (37772292096).

Almost surely, 2^{1151011115040} is an apocalyptic number.

1151011115040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1151011115040 is an abundant number, since it is smaller than the sum of its proper divisors (2475128926176).

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

1151011115040 is a wasteful number, since it uses less digits than its factorization.

1151011115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300962 (or 300954 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 21.

Adding to 1151011115040 its reverse (405111101511), we get a palindrome (1556122216551).

The spelling of 1151011115040 in words is "one trillion, one hundred fifty-one billion, eleven million, one hundred fifteen thousand, forty".