4965264223920 has 3600 divisors, whose sum is σ = 24137093002176. Its totient is φ = 925157376000.

The previous prime is 4965264223919. The next prime is 4965264223937. The reversal of 4965264223920 is 293224625694.

4965264223920 is a `hidden beast` number, since 4 + 9 + 6 + 526 + 4 + 2 + 23 + 92 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 49161031870 + ... + 49161031970.

Almost surely, 2^{4965264223920} is an apocalyptic number.

4965264223920 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 4965264223920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12068546501088).

4965264223920 is an abundant number, since it is smaller than the sum of its proper divisors (19171828778256).

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

4965264223920 is a wasteful number, since it uses less digits than its factorization.

4965264223920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 4965264223920 in words is "four trillion, nine hundred sixty-five billion, two hundred sixty-four million, two hundred twenty-three thousand, nine hundred twenty".