10202140414004 has 48 divisors (see below), whose sum is σ = 23227007440896. Its totient is φ = 3802039903200.

The previous prime is 10202140413977. The next prime is 10202140414007. The reversal of 10202140414004 is 40041404120201.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202140414007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 720076232 + ... + 720090399.

It is an arithmetic number, because the mean of its divisors is an integer number (483895988352).

Almost surely, 2^{10202140414004} is an apocalyptic number.

10202140414004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10202140414004 is an abundant number, since it is smaller than the sum of its proper divisors (13024867026892).

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

10202140414004 is a wasteful number, since it uses less digits than its factorization.

10202140414004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440166676 (or 1440166674 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 10202140414004 its reverse (40041404120201), we get a palindrome (50243544534205).

The spelling of 10202140414004 in words is "ten trillion, two hundred two billion, one hundred forty million, four hundred fourteen thousand, four".