4000621363200 has 3072 divisors, whose sum is σ = 19191164544000. Its totient is φ = 802632499200.

The previous prime is 4000621363133. The next prime is 4000621363201. The reversal of 4000621363200 is 23631260004.

4000621363200 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 6 + 21 + 3 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000621363201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 137952460786 + ... + 137952460814.

It is an arithmetic number, because the mean of its divisors is an integer number (6247123875).

Almost surely, 2^{4000621363200} is an apocalyptic number.

4000621363200 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 4000621363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9595582272000).

4000621363200 is an abundant number, since it is smaller than the sum of its proper divisors (15190543180800).

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

4000621363200 is an frugal number, since it uses more digits than its factorization.

4000621363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 4000621363200 in words is "four trillion, six hundred twenty-one million, three hundred sixty-three thousand, two hundred".