1900125158400 has 792 divisors, whose sum is σ = 7803730675104. Its totient is φ = 432724377600.

The previous prime is 1900125158303. The next prime is 1900125158411. The reversal of 1900125158400 is 48515210091.

1900125158400 is a `hidden beast` number, since 1 + 90 + 0 + 12 + 5 + 158 + 400 = 666.

It is a super-2 number, since 2×1900125158400² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 472548390 + ... + 472552410.

Almost surely, 2^{1900125158400} is an apocalyptic number.

1900125158400 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 1900125158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901865337552).

1900125158400 is an abundant number, since it is smaller than the sum of its proper divisors (5903605516704).

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

1900125158400 is a wasteful number, since it uses less digits than its factorization.

1900125158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4357 (or 4331 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 1900125158400 in words is "one trillion, nine hundred billion, one hundred twenty-five million, one hundred fifty-eight thousand, four hundred".