40272120000 has 840 divisors, whose sum is σ = 172323526320. Its totient is φ = 9192960000.

The previous prime is 40272119983. The next prime is 40272120017. The reversal of 40272120000 is 2127204.

It is an interprime number because it is at equal distance from previous prime (40272119983) and next prime (40272120017).

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 52919620 + ... + 52920380.

Almost surely, 2^40272120000 is an apocalyptic number.

40272120000 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 40272120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86161763160).

40272120000 is an abundant number, since it is smaller than the sum of its proper divisors (132051406320).

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

40272120000 is an equidigital number, since it uses as much as digits as its factorization.

40272120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

Adding to 40272120000 its reverse (2127204), we get a palindrome (40274247204).

The spelling of 40272120000 in words is "forty billion, two hundred seventy-two million, one hundred twenty thousand".