4672261440 has 560 divisors, whose sum is σ = 20729960064. Its totient is φ = 970444800.

The previous prime is 4672261417. The next prime is 4672261471. The reversal of 4672261440 is 441622764.

It is a tau number, because it is divible by the number of its divisors (560).

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 = 4672261395 and 4672261404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1994670 + ... + 1997010.

Almost surely, 2^4672261440 is an apocalyptic number.

4672261440 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 4672261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10364980032).

4672261440 is an abundant number, since it is smaller than the sum of its proper divisors (16057698624).

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

4672261440 is a wasteful number, since it uses less digits than its factorization.

4672261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4672261440 is about 68353.9423881315. The cubic root of 4672261440 is about 1671.7668608030.

The spelling of 4672261440 in words is "four billion, six hundred seventy-two million, two hundred sixty-one thousand, four hundred forty".