40220120234000 has 480 divisors, whose sum is σ = 114271396162560. Its totient is φ = 13410334080000.

The previous prime is 40220120233991. The next prime is 40220120234033. The reversal of 40220120234000 is 43202102204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4964829950 + ... + 4964838050.

It is an arithmetic number, because the mean of its divisors is an integer number (238065408672).

Almost surely, 2^{40220120234000} is an apocalyptic number.

40220120234000 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 40220120234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57135698081280).

40220120234000 is an abundant number, since it is smaller than the sum of its proper divisors (74051275928560).

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

40220120234000 is an equidigital number, since it uses as much as digits as its factorization.

40220120234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8344 (or 8261 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 40220120234000 its reverse (43202102204), we get a palindrome (40263322336204).

The spelling of 40220120234000 in words is "forty trillion, two hundred twenty billion, one hundred twenty million, two hundred thirty-four thousand".