10503242400400 has 60 divisors (see below), whose sum is σ = 26562147247600. Its totient is φ = 3980176064640.

The previous prime is 10503242400377. The next prime is 10503242400407. The reversal of 10503242400400 is 400424230501.

It is a happy number.

It is a super-2 number, since 2×10503242400400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10503242400407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 690995190 + ... + 691010389.

Almost surely, 2^{10503242400400} is an apocalyptic number.

10503242400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10503242400400 is an abundant number, since it is smaller than the sum of its proper divisors (16058904847200).

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

10503242400400 is a wasteful number, since it uses less digits than its factorization.

10503242400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382005616 (or 1382005605 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 10503242400400 its reverse (400424230501), we get a palindrome (10903666630901).

The spelling of 10503242400400 in words is "ten trillion, five hundred three billion, two hundred forty-two million, four hundred thousand, four hundred".