1007414913792 has 288 divisors, whose sum is σ = 3250934579200. Its totient is φ = 270533136384.

The previous prime is 1007414913767. The next prime is 1007414913797. The reversal of 1007414913792 is 2973194147001.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1007414913797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12933459 + ... + 13011117.

Almost surely, 2^{1007414913792} is an apocalyptic number.

1007414913792 is a gapful number since it is divisible by the number (12) 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 1007414913792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625467289600).

1007414913792 is an abundant number, since it is smaller than the sum of its proper divisors (2243519665408).

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

1007414913792 is a wasteful number, since it uses less digits than its factorization.

1007414913792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77831 (or 77817 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 1007414913792 in words is "one trillion, seven billion, four hundred fourteen million, nine hundred thirteen thousand, seven hundred ninety-two".