103401430004000 has 96 divisors (see below), whose sum is σ = 265103283908736. Its totient is φ = 39562286227200.

The previous prime is 103401430003997. The next prime is 103401430004017. The reversal of 103401430004000 is 400034104301.

It is a happy number.

103401430004000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103401430004000² (a number of 29 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 561872294 + ... + 562056293.

It is an arithmetic number, because the mean of its divisors is an integer number (2761492540716).

Almost surely, 2^{103401430004000} is an apocalyptic number.

103401430004000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103401430004000 is an abundant number, since it is smaller than the sum of its proper divisors (161701853904736).

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

103401430004000 is a wasteful number, since it uses less digits than its factorization.

103401430004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123928635 (or 1123928617 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 103401430004000 its reverse (400034104301), we get a palindrome (103801464108301).

The spelling of 103401430004000 in words is "one hundred three trillion, four hundred one billion, four hundred thirty million, four thousand".