42241400031400 has 192 divisors, whose sum is σ = 103886994556800. Its totient is φ = 15928980480000.

The previous prime is 42241400031371. The next prime is 42241400031443. The reversal of 42241400031400 is 413000414224.

It is a super-2 number, since 2×42241400031400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 710232064 + ... + 710291536.

It is an arithmetic number, because the mean of its divisors is an integer number (541078096650).

Almost surely, 2^{42241400031400} is an apocalyptic number.

42241400031400 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 42241400031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51943497278400).

42241400031400 is an abundant number, since it is smaller than the sum of its proper divisors (61645594525400).

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

42241400031400 is a wasteful number, since it uses less digits than its factorization.

42241400031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60420 (or 60411 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 42241400031400 its reverse (413000414224), we get a palindrome (42654400445624).

The spelling of 42241400031400 in words is "forty-two trillion, two hundred forty-one billion, four hundred million, thirty-one thousand, four hundred".