4953623040 has 240 divisors, whose sum is σ = 17793423648. Its totient is φ = 1320800256.

The previous prime is 4953623039. The next prime is 4953623093. The reversal of 4953623040 is 403263594.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 4953622986 and 4953623004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 618099 + ... + 626061.

Almost surely, 2^4953623040 is an apocalyptic number.

4953623040 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 4953623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8896711824).

4953623040 is an abundant number, since it is smaller than the sum of its proper divisors (12839800608).

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

4953623040 is an frugal number, since it uses more digits than its factorization.

4953623040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8001 (or 7973 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 4953623040 is about 70381.9795118040. The cubic root of 4953623040 is about 1704.6726168289.

The spelling of 4953623040 in words is "four billion, nine hundred fifty-three million, six hundred twenty-three thousand, forty".