42214012142440 has 128 divisors (see below), whose sum is σ = 104340483072000. Its totient is φ = 15299472976128.

The previous prime is 42214012142431. The next prime is 42214012142453. The reversal of 42214012142440 is 4424121041224.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144711051 + ... + 145002469.

It is an arithmetic number, because the mean of its divisors is an integer number (815160024000).

Almost surely, 2^{42214012142440} is an apocalyptic number.

42214012142440 is a gapful number since it is divisible by the number (40) 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 42214012142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52170241536000).

42214012142440 is an abundant number, since it is smaller than the sum of its proper divisors (62126470929560).

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

42214012142440 is a wasteful number, since it uses less digits than its factorization.

42214012142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299759 (or 299755 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 42214012142440 its reverse (4424121041224), we get a palindrome (46638133183664).

The spelling of 42214012142440 in words is "forty-two trillion, two hundred fourteen billion, twelve million, one hundred forty-two thousand, four hundred forty".