4006616238720 has 1536 divisors, whose sum is σ = 16072291123200. Its totient is φ = 912994467840.

The previous prime is 4006616238679. The next prime is 4006616238791. The reversal of 4006616238720 is 278326166004.

4006616238720 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 616 + 2 + 3 + 8 + 7 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7324709487 + ... + 7324710033.

It is an arithmetic number, because the mean of its divisors is an integer number (10463731200).

Almost surely, 2^{4006616238720} is an apocalyptic number.

4006616238720 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 4006616238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8036145561600).

4006616238720 is an abundant number, since it is smaller than the sum of its proper divisors (12065674884480).

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

4006616238720 is a wasteful number, since it uses less digits than its factorization.

4006616238720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 4006616238720 in words is "four trillion, six billion, six hundred sixteen million, two hundred thirty-eight thousand, seven hundred twenty".