396433852651200 has 1512 divisors, whose sum is σ = 1683633042994896. Its totient is φ = 80944419225600.

The previous prime is 396433852651129. The next prime is 396433852651201. The reversal of 396433852651200 is 2156258334693.

It is a happy number.

It is a super-2 number, since 2×396433852651200² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (396433852651201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2938286142 + ... + 2938421058.

Almost surely, 2^{396433852651200} is an apocalyptic number.

396433852651200 is a gapful number since it is divisible by the number (30) 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 396433852651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841816521497448).

396433852651200 is an abundant number, since it is smaller than the sum of its proper divisors (1287199190343696).

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

396433852651200 is a wasteful number, since it uses less digits than its factorization.

396433852651200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135031 (or 134978 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 57.

The spelling of 396433852651200 in words is "three hundred ninety-six trillion, four hundred thirty-three billion, eight hundred fifty-two million, six hundred fifty-one thousand, two hundred".