4007264555520 has 480 divisors, whose sum is σ = 14424416278272. Its totient is φ = 1066219241472.

The previous prime is 4007264555507. The next prime is 4007264555527. The reversal of 4007264555520 is 255554627004.

4007264555520 is a `hidden beast` number, since 4 + 0 + 0 + 72 + 6 + 4 + 5 + 55 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4007264555527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288016084 + ... + 288029996.

Almost surely, 2^{4007264555520} is an apocalyptic number.

4007264555520 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 4007264555520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7212208139136).

4007264555520 is an abundant number, since it is smaller than the sum of its proper divisors (10417151722752).

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

4007264555520 is an equidigital number, since it uses as much as digits as its factorization.

4007264555520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14414 (or 14386 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

The spelling of 4007264555520 in words is "four trillion, seven billion, two hundred sixty-four million, five hundred fifty-five thousand, five hundred twenty".