4155472440 has 384 divisors, whose sum is σ = 15999984000. Its totient is φ = 934778880.

The previous prime is 4155472423. The next prime is 4155472471. The reversal of 4155472440 is 442745514.

4155472440 is a `hidden beast` number, since 41 + 554 + 7 + 24 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4155472395 and 4155472404.

It is a congruent number.

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, 9013810 + ... + 9014270.

It is an arithmetic number, because the mean of its divisors is an integer number (41666625).

Almost surely, 2^4155472440 is an apocalyptic number.

4155472440 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 4155472440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7999992000).

4155472440 is an abundant number, since it is smaller than the sum of its proper divisors (11844511560).

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

4155472440 is a wasteful number, since it uses less digits than its factorization.

4155472440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

The square root of 4155472440 is about 64462.9540123628. The cubic root of 4155472440 is about 1607.7066276253.

The spelling of 4155472440 in words is "four billion, one hundred fifty-five million, four hundred seventy-two thousand, four hundred forty".