10440188152384 has 63 divisors (see below), whose sum is σ = 21237027289513. Its totient is φ = 5092257728000.

The previous prime is 10440188152363. The next prime is 10440188152409. The reversal of 10440188152384 is 48325188104401.

The square root of 10440188152384 is 3231128.

It is a perfect power (a square), and thus also a powerful number.

10440188152384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 503066769984 + 9937121382400 = 709272^2 + 3152320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1059805059 + ... + 1059814909.

Almost surely, 2^{10440188152384} is an apocalyptic number.

10440188152384 is the 3231128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10440188152384

10440188152384 is an abundant number, since it is smaller than the sum of its proper divisors (10796839137129).

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

10440188152384 is an frugal number, since it uses more digits than its factorization.

10440188152384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19796 (or 9894 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 49.

Multiplying 10440188152384 by its sum of digits (49), we get a square (511569219466816 = 22617896²).

The spelling of 10440188152384 in words is "ten trillion, four hundred forty billion, one hundred eighty-eight million, one hundred fifty-two thousand, three hundred eighty-four".