40472371420272 has 180 divisors, whose sum is σ = 124620040216672. Its totient is φ = 12252476966400.

The previous prime is 40472371420249. The next prime is 40472371420279. The reversal of 40472371420272 is 27202417327404.

40472371420272 is a `hidden beast` number, since 4 + 0 + 4 + 7 + 2 + 371 + 4 + 2 + 0 + 272 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40472371420279) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16874697 + ... + 19123287.

Almost surely, 2^{40472371420272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40472371420272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62310020108336).

40472371420272 is an abundant number, since it is smaller than the sum of its proper divisors (84147668796400).

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

40472371420272 is a wasteful number, since it uses less digits than its factorization.

40472371420272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249660 (or 2249640 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 45.

Adding to 40472371420272 its reverse (27202417327404), we get a palindrome (67674788747676).

The spelling of 40472371420272 in words is "forty trillion, four hundred seventy-two billion, three hundred seventy-one million, four hundred twenty thousand, two hundred seventy-two".