1925069990400 has 360 divisors, whose sum is σ = 7294554110844. Its totient is φ = 483154329600.

The previous prime is 1925069990387. The next prime is 1925069990411. The reversal of 1925069990400 is 40999605291.

1925069990400 is a `hidden beast` number, since 1 + 9 + 2 + 506 + 9 + 9 + 90 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1609082102016 + 315987888384 = 1268496^2 + 562128^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1466910 + ... + 2449890.

Almost surely, 2^{1925069990400} is an apocalyptic number.

1925069990400 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 1925069990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647277055422).

1925069990400 is an abundant number, since it is smaller than the sum of its proper divisors (5369484120444).

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

1925069990400 is a wasteful number, since it uses less digits than its factorization.

1925069990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983032 (or 983008 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 1925069990400 in words is "one trillion, nine hundred twenty-five billion, sixty-nine million, nine hundred ninety thousand, four hundred".