10401254414145 has 192 divisors, whose sum is σ = 21138132787200. Its totient is φ = 4633314048000.

The previous prime is 10401254414143. The next prime is 10401254414149. The reversal of 10401254414145 is 54141445210401.

10401254414145 is a `hidden beast` number, since 1 + 0 + 40 + 12 + 54 + 414 + 145 = 666.

10401254414145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10401254414145 - 2¹ = 10401254414143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10401254414143) 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, 1136620320 + ... + 1136629470.

It is an arithmetic number, because the mean of its divisors is an integer number (110094441600).

Almost surely, 2^{10401254414145} is an apocalyptic number.

10401254414145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10401254414145 is an abundant number, since it is smaller than the sum of its proper divisors (10736878373055).

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

10401254414145 is a wasteful number, since it uses less digits than its factorization.

10401254414145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9776 (or 9773 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 10401254414145 its reverse (54141445210401), we get a palindrome (64542699624546).

The spelling of 10401254414145 in words is "ten trillion, four hundred one billion, two hundred fifty-four million, four hundred fourteen thousand, one hundred forty-five".