1974491078400 has 432 divisors, whose sum is σ = 7249956806400. Its totient is φ = 525825699840.

The previous prime is 1974491078389. The next prime is 1974491078411. The reversal of 1974491078400 is 48701944791.

1974491078400 is a `hidden beast` number, since 1 + 9 + 74 + 491 + 0 + 7 + 84 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1974491078389) and next prime (1974491078411).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135986341 + ... + 136000859.

Almost surely, 2^{1974491078400} is an apocalyptic number.

1974491078400 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 1974491078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624978403200).

1974491078400 is an abundant number, since it is smaller than the sum of its proper divisors (5275465728000).

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

1974491078400 is a wasteful number, since it uses less digits than its factorization.

1974491078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15341 (or 15316 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 1974491078400 in words is "one trillion, nine hundred seventy-four billion, four hundred ninety-one million, seventy-eight thousand, four hundred".