40270970880 has 1080 divisors, whose sum is σ = 175759042368. Its totient is φ = 8663334912.

The previous prime is 40270970851. The next prime is 40270970881. The reversal of 40270970880 is 8807907204.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (40270970881) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2368880632 + ... + 2368880648.

Almost surely, 2^40270970880 is an apocalyptic number.

40270970880 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 40270970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87879521184).

40270970880 is an abundant number, since it is smaller than the sum of its proper divisors (135488071488).

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

40270970880 is an frugal number, since it uses more digits than its factorization.

40270970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 40270970880 in words is "forty billion, two hundred seventy million, nine hundred seventy thousand, eight hundred eighty".