40472916120 has 768 divisors, whose sum is σ = 174021120000. Its totient is φ = 8083805184.

The previous prime is 40472916091. The next prime is 40472916193. The reversal of 40472916120 is 2161927404.

It is a happy number.

40472916120 is a `hidden beast` number, since 4 + 0 + 472 + 9 + 161 + 20 = 666.

40472916120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30498897 + ... + 30500223.

It is an arithmetic number, because the mean of its divisors is an integer number (226590000).

Almost surely, 2^40472916120 is an apocalyptic number.

40472916120 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 40472916120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87010560000).

40472916120 is an abundant number, since it is smaller than the sum of its proper divisors (133548203880).

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

40472916120 is a wasteful number, since it uses less digits than its factorization.

40472916120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 40472916120 in words is "forty billion, four hundred seventy-two million, nine hundred sixteen thousand, one hundred twenty".