1976834879040 has 336 divisors, whose sum is σ = 7312644142272. Its totient is φ = 451138351104.

The previous prime is 1976834879039. The next prime is 1976834879053. The reversal of 1976834879040 is 409784386791.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1976834879040² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30214042 + ... + 30279398.

It is an arithmetic number, because the mean of its divisors is an integer number (21763821852).

Almost surely, 2^{1976834879040} is an apocalyptic number.

1976834879040 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 1976834879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656322071136).

1976834879040 is an abundant number, since it is smaller than the sum of its proper divisors (5335809263232).

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

1976834879040 is a wasteful number, since it uses less digits than its factorization.

1976834879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66034 (or 66017 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 66.

The spelling of 1976834879040 in words is "one trillion, nine hundred seventy-six billion, eight hundred thirty-four million, eight hundred seventy-nine thousand, forty".