403542102420 has 144 divisors (see below), whose sum is σ = 1237963014288. Its totient is φ = 106392821760.

The previous prime is 403542102373. The next prime is 403542102421. The reversal of 403542102420 is 24201245304.

403542102420 is a `hidden beast` number, since 403 + 5 + 4 + 2 + 10 + 242 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12471975684 + 391070126736 = 111678^2 + 625356^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403542102421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17815342 + ... + 17837978.

It is an arithmetic number, because the mean of its divisors is an integer number (8596965377).

Almost surely, 2^403542102420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403542102420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618981507144).

403542102420 is an abundant number, since it is smaller than the sum of its proper divisors (834420911868).

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

403542102420 is a wasteful number, since it uses less digits than its factorization.

403542102420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23770 (or 23765 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 403542102420 its reverse (24201245304), we get a palindrome (427743347724).

The spelling of 403542102420 in words is "four hundred three billion, five hundred forty-two million, one hundred two thousand, four hundred twenty".