10376574815040 has 1344 divisors, whose sum is σ = 40521928900608. Its totient is φ = 2240217907200.

The previous prime is 10376574815027. The next prime is 10376574815041. The reversal of 10376574815040 is 4051847567301.

It is a happy number.

10376574815040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×10376574815040³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10376574815041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11390312185 + ... + 11390313095.

Almost surely, 2^{10376574815040} is an apocalyptic number.

10376574815040 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 10376574815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20260964450304).

10376574815040 is an abundant number, since it is smaller than the sum of its proper divisors (30145354085568).

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

10376574815040 is a wasteful number, since it uses less digits than its factorization.

10376574815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 10376574815040 in words is "ten trillion, three hundred seventy-six billion, five hundred seventy-four million, eight hundred fifteen thousand, forty".