42420400815440 has 40 divisors (see below), whose sum is σ = 98645741313120. Its totient is φ = 16965010318976.

The previous prime is 42420400815427. The next prime is 42420400815449. The reversal of 42420400815440 is 4451800402424.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 42420400815394 and 42420400815403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42420400815449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48785210 + ... + 49647129.

It is an arithmetic number, because the mean of its divisors is an integer number (2466143532828).

Almost surely, 2^{42420400815440} is an apocalyptic number.

42420400815440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42420400815440 is an abundant number, since it is smaller than the sum of its proper divisors (56225340497680).

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

42420400815440 is a wasteful number, since it uses less digits than its factorization.

42420400815440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98437739 (or 98437733 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 38.

The spelling of 42420400815440 in words is "forty-two trillion, four hundred twenty billion, four hundred million, eight hundred fifteen thousand, four hundred forty".