4742672440 has 128 divisors (see below), whose sum is σ = 11818872000. Its totient is φ = 1712663040.

The previous prime is 4742672437. The next prime is 4742672443. The reversal of 4742672440 is 442762474.

It is an interprime number because it is at equal distance from previous prime (4742672437) and next prime (4742672443).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4742672393 and 4742672402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4742672443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12191766 + ... + 12192154.

Almost surely, 2^4742672440 is an apocalyptic number.

4742672440 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 4742672440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5909436000).

4742672440 is an abundant number, since it is smaller than the sum of its proper divisors (7076199560).

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

4742672440 is a wasteful number, since it uses less digits than its factorization.

4742672440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 40.

The square root of 4742672440 is about 68867.0635354812. The cubic root of 4742672440 is about 1680.1228698872.

The spelling of 4742672440 in words is "four billion, seven hundred forty-two million, six hundred seventy-two thousand, four hundred forty".