1972840190400 has 336 divisors, whose sum is σ = 7344756334080. Its totient is φ = 514896768000.

The previous prime is 1972840190333. The next prime is 1972840190413. The reversal of 1972840190400 is 40910482791.

It is a happy number.

1972840190400 is a `hidden beast` number, since 19 + 7 + 2 + 8 + 40 + 190 + 400 = 666.

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

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, 1544575 + ... + 2516225.

Almost surely, 2^{1972840190400} is an apocalyptic number.

1972840190400 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 1972840190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672378167040).

1972840190400 is an abundant number, since it is smaller than the sum of its proper divisors (5371916143680).

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

1972840190400 is a wasteful number, since it uses less digits than its factorization.

1972840190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971729 (or 971708 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1972840190400 in words is "one trillion, nine hundred seventy-two billion, eight hundred forty million, one hundred ninety thousand, four hundred".