149028422400 has 1728 divisors, whose sum is σ = 663405872640. Its totient is φ = 32248627200.

The previous prime is 149028422377. The next prime is 149028422407. The reversal of 149028422400 is 4224820941.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (149028422407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 914284719 + ... + 914284881.

Almost surely, 2^149028422400 is an apocalyptic number.

149028422400 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 149028422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331702936320).

149028422400 is an abundant number, since it is smaller than the sum of its proper divisors (514377450240).

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

149028422400 is a wasteful number, since it uses less digits than its factorization.

149028422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 149028422400 in words is "one hundred forty-nine billion, twenty-eight million, four hundred twenty-two thousand, four hundred".