40100234020000 has 960 divisors, whose sum is σ = 124788960350208. Its totient is φ = 12317760000000.

The previous prime is 40100234019959. The next prime is 40100234020003. The reversal of 40100234020000 is 2043200104.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (40100234020003) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44017819545 + ... + 44017820455.

Almost surely, 2^{40100234020000} is an apocalyptic number.

40100234020000 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 40100234020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62394480175104).

40100234020000 is an abundant number, since it is smaller than the sum of its proper divisors (84688726330208).

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

40100234020000 is a wasteful number, since it uses less digits than its factorization.

40100234020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 40100234020000 its reverse (2043200104), we get a palindrome (40102277220104).

The spelling of 40100234020000 in words is "forty trillion, one hundred billion, two hundred thirty-four million, twenty thousand".