20400213042000 has 2400 divisors, whose sum is σ = 84368695057920. Its totient is φ = 4760933760000.

The previous prime is 20400213041951. The next prime is 20400213042019. The reversal of 20400213042000 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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 334429721970 + ... + 334429722030.

Almost surely, 2^{20400213042000} is an apocalyptic number.

20400213042000 is a gapful number since it is divisible by the number (20) 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 20400213042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42184347528960).

20400213042000 is an abundant number, since it is smaller than the sum of its proper divisors (63968482015920).

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

20400213042000 is an frugal number, since it uses more digits than its factorization.

20400213042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 129 counting only the distinct ones).

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

Adding to 20400213042000 its reverse (24031200402), we get a palindrome (20424244242402).

The spelling of 20400213042000 in words is "twenty trillion, four hundred billion, two hundred thirteen million, forty-two thousand".