103401239040 has 1280 divisors, whose sum is σ = 427652628480. Its totient is φ = 23445504000.

The previous prime is 103401239033. The next prime is 103401239057. The reversal of 103401239040 is 40932104301.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103401238995 and 103401239013.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 966366667 + ... + 966366773.

It is an arithmetic number, because the mean of its divisors is an integer number (334103616).

Almost surely, 2^103401239040 is an apocalyptic number.

103401239040 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 103401239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213826314240).

103401239040 is an abundant number, since it is smaller than the sum of its proper divisors (324251389440).

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

103401239040 is a wasteful number, since it uses less digits than its factorization.

103401239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 103401239040 in words is "one hundred three billion, four hundred one million, two hundred thirty-nine thousand, forty".