20400213042 has 240 divisors, whose sum is σ = 52337900160. Its totient is φ = 5951167200.

The previous prime is 20400212971. The next prime is 20400213157. The reversal of 20400213042 is 24031200402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 334429692 + ... + 334429752.

It is an arithmetic number, because the mean of its divisors is an integer number (218074584).

Almost surely, 2^20400213042 is an apocalyptic number.

20400213042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20400213042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26168950080).

20400213042 is an abundant number, since it is smaller than the sum of its proper divisors (31937687118).

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

20400213042 is an frugal number, since it uses more digits than its factorization.

20400213042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20400213042 its reverse (24031200402), we get a palindrome (44431413444).

The spelling of 20400213042 in words is "twenty billion, four hundred million, two hundred thirteen thousand, forty-two".