1154968855040 has 1440 divisors, whose sum is σ = 3968891099712. Its totient is φ = 316779724800.

The previous prime is 1154968855037. The next prime is 1154968855091. The reversal of 1154968855040 is 405588694511.

It is a super-2 number, since 2×1154968855040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17238341087 + ... + 17238341153.

Almost surely, 2^{1154968855040} is an apocalyptic number.

1154968855040 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 1154968855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984445549856).

1154968855040 is an abundant number, since it is smaller than the sum of its proper divisors (2813922244672).

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

1154968855040 is a wasteful number, since it uses less digits than its factorization.

1154968855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 56.

The spelling of 1154968855040 in words is "one trillion, one hundred fifty-four billion, nine hundred sixty-eight million, eight hundred fifty-five thousand, forty".