2976161440000 has 720 divisors, whose sum is σ = 9121036434048. Its totient is φ = 945635328000.

The previous prime is 2976161439973. The next prime is 2976161440069. The reversal of 2976161440000 is 441616792.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 1275678834 + ... + 1275681166.

Almost surely, 2^{2976161440000} is an apocalyptic number.

2976161440000 is a gapful number since it is divisible by the number (20) 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 2976161440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4560518217024).

2976161440000 is an abundant number, since it is smaller than the sum of its proper divisors (6144874994048).

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

2976161440000 is an equidigital number, since it uses as much as digits as its factorization.

2976161440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 2976161440000 in words is "two trillion, nine hundred seventy-six billion, one hundred sixty-one million, four hundred forty thousand".