149034428006400 has 684 divisors, whose sum is σ = 565281543691332. Its totient is φ = 37404467527680.

The previous prime is 149034428006341. The next prime is 149034428006413. The reversal of 149034428006400 is 4600824430941.

149034428006400 is a `hidden beast` number, since 1 + 4 + 90 + 3 + 442 + 80 + 0 + 6 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 408290328576 + 148626137677824 = 638976^2 + 12191232^2 .

It is a super-2 number, since 2×149034428006400² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1002626484 + ... + 1002775116.

Almost surely, 2^{149034428006400} is an apocalyptic number.

149034428006400 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 149034428006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282640771845666).

149034428006400 is an abundant number, since it is smaller than the sum of its proper divisors (416247115684932).

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

149034428006400 is an equidigital number, since it uses as much as digits as its factorization.

149034428006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148702 (or 148660 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 149034428006400 in words is "one hundred forty-nine trillion, thirty-four billion, four hundred twenty-eight million, six thousand, four hundred".