10240464400050 has 48 divisors (see below), whose sum is σ = 25396549650720. Its totient is φ = 2730769223040.

The previous prime is 10240464400027. The next prime is 10240464400057. The reversal of 10240464400050 is 5000446404201.

It is a happy number.

It is a super-2 number, since 2×10240464400050² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10240464399990 and 10240464400017.

It is not an unprimeable number, because it can be changed into a prime (10240464400057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32232774 + ... + 32548926.

It is an arithmetic number, because the mean of its divisors is an integer number (529094784390).

Almost surely, 2^{10240464400050} is an apocalyptic number.

10240464400050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10240464400050 is an abundant number, since it is smaller than the sum of its proper divisors (15156085250670).

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

10240464400050 is a wasteful number, since it uses less digits than its factorization.

10240464400050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532107 (or 532102 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 10240464400050 in words is "ten trillion, two hundred forty billion, four hundred sixty-four million, four hundred thousand, fifty".