10415401040000 has 320 divisors, whose sum is σ = 29261063462400. Its totient is φ = 3656808960000.

The previous prime is 10415401039951. The next prime is 10415401040039. The reversal of 10415401040000 is 4010451401.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25315937 + ... + 25724063.

It is an arithmetic number, because the mean of its divisors is an integer number (91440823320).

Almost surely, 2^{10415401040000} is an apocalyptic number.

10415401040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10415401040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14630531731200).

10415401040000 is an abundant number, since it is smaller than the sum of its proper divisors (18845662422400).

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

10415401040000 is an equidigital number, since it uses as much as digits as its factorization.

10415401040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408201 (or 408174 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 10415401040000 its reverse (4010451401), we get a palindrome (10419411491401).

The spelling of 10415401040000 in words is "ten trillion, four hundred fifteen billion, four hundred one million, forty thousand".