1007158240704 has 672 divisors, whose sum is σ = 3497458567680. Its totient is φ = 250127032320.

The previous prime is 1007158240601. The next prime is 1007158240709. The reversal of 1007158240704 is 4070428517001.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007158240709) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 355006774 + ... + 355009610.

It is an arithmetic number, because the mean of its divisors is an integer number (5204551440).

Almost surely, 2^{1007158240704} is an apocalyptic number.

1007158240704 is a gapful number since it is divisible by the number (14) 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 1007158240704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748729283840).

1007158240704 is an abundant number, since it is smaller than the sum of its proper divisors (2490300326976).

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

1007158240704 is a wasteful number, since it uses less digits than its factorization.

1007158240704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The spelling of 1007158240704 in words is "one trillion, seven billion, one hundred fifty-eight million, two hundred forty thousand, seven hundred four".