4951415040 has 576 divisors, whose sum is σ = 18988204032. Its totient is φ = 1083801600.

The previous prime is 4951415033. The next prime is 4951415059. The reversal of 4951415040 is 405141594.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4951414992 and 4951415010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38987457 + ... + 38987583.

It is an arithmetic number, because the mean of its divisors is an integer number (32965632).

Almost surely, 2^4951415040 is an apocalyptic number.

4951415040 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 4951415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9494102016).

4951415040 is an abundant number, since it is smaller than the sum of its proper divisors (14036788992).

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

4951415040 is a wasteful number, since it uses less digits than its factorization.

4951415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 4951415040 is about 70366.2919301564. The cubic root of 4951415040 is about 1704.4193021350.

The spelling of 4951415040 in words is "four billion, nine hundred fifty-one million, four hundred fifteen thousand, forty".