601621406330400 has 216 divisors, whose sum is σ = 2134170886446144. Its totient is φ = 159471701798400.

The previous prime is 601621406330377. The next prime is 601621406330443. The reversal of 601621406330400 is 4033604126106.

601621406330400 is a `hidden beast` number, since 6 + 0 + 1 + 6 + 2 + 14 + 0 + 633 + 0 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×601621406330400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 248972836 + ... + 251377635.

It is an arithmetic number, because the mean of its divisors is an integer number (9880420770584).

Almost surely, 2^{601621406330400} is an apocalyptic number.

601621406330400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

601621406330400 is an abundant number, since it is smaller than the sum of its proper divisors (1532549480115744).

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

601621406330400 is a wasteful number, since it uses less digits than its factorization.

601621406330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500350664 (or 500350648 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 601621406330400 in words is "six hundred one trillion, six hundred twenty-one billion, four hundred six million, three hundred thirty thousand, four hundred".