149324666400 has 1728 divisors, whose sum is σ = 703202992128. Its totient is φ = 30053928960.

The previous prime is 149324666389. The next prime is 149324666431. The reversal of 149324666400 is 4666423941.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 406879017 + ... + 406879383.

It is an arithmetic number, because the mean of its divisors is an integer number (406946176).

Almost surely, 2^149324666400 is an apocalyptic number.

149324666400 is a gapful number since it is divisible by the number (10) 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 149324666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351601496064).

149324666400 is an abundant number, since it is smaller than the sum of its proper divisors (553878325728).

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

149324666400 is a wasteful number, since it uses less digits than its factorization.

149324666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 149324666400 in words is "one hundred forty-nine billion, three hundred twenty-four million, six hundred sixty-six thousand, four hundred".