1004961179040 has 768 divisors, whose sum is σ = 4106829081600. Its totient is φ = 200848048128.

The previous prime is 1004961179021. The next prime is 1004961179051. The reversal of 1004961179040 is 409711694001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1004961178983 and 1004961179001.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67128676 + ... + 67143644.

It is an arithmetic number, because the mean of its divisors is an integer number (5347433700).

Almost surely, 2^{1004961179040} is an apocalyptic number.

1004961179040 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 1004961179040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053414540800).

1004961179040 is an abundant number, since it is smaller than the sum of its proper divisors (3101867902560).

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

1004961179040 is a wasteful number, since it uses less digits than its factorization.

1004961179040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15089 (or 15081 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 1004961179040 in words is "one trillion, four billion, nine hundred sixty-one million, one hundred seventy-nine thousand, forty".