1941213938400 has 648 divisors, whose sum is σ = 7966722097152. Its totient is φ = 442911744000.

The previous prime is 1941213938359. The next prime is 1941213938491. The reversal of 1941213938400 is 48393121491.

1941213938400 is a `hidden beast` number, since 1 + 94 + 121 + 3 + 9 + 38 + 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 107 ways as a sum of consecutive naturals, for example, 14744865 + ... + 14875935.

It is an arithmetic number, because the mean of its divisors is an integer number (12294324224).

Almost surely, 2^{1941213938400} is an apocalyptic number.

1941213938400 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 1941213938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983361048576).

1941213938400 is an abundant number, since it is smaller than the sum of its proper divisors (6025508158752).

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

1941213938400 is a wasteful number, since it uses less digits than its factorization.

1941213938400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131136 (or 131109 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1941213938400 in words is "one trillion, nine hundred forty-one billion, two hundred thirteen million, nine hundred thirty-eight thousand, four hundred".