1941260126400 has 3024 divisors, whose sum is σ = 9096427791360. Its totient is φ = 404451532800.

The previous prime is 1941260126371. The next prime is 1941260126423. The reversal of 1941260126400 is 46210621491.

1941260126400 is a `hidden beast` number, since 1 + 9 + 4 + 1 + 2 + 6 + 0 + 1 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 11221156714 + ... + 11221156886.

Almost surely, 2^{1941260126400} is an apocalyptic number.

1941260126400 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 1941260126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548213895680).

1941260126400 is an abundant number, since it is smaller than the sum of its proper divisors (7155167664960).

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

1941260126400 is a wasteful number, since it uses less digits than its factorization.

1941260126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 1941260126400 its reverse (46210621491), we get a palindrome (1987470747891).

The spelling of 1941260126400 in words is "one trillion, nine hundred forty-one billion, two hundred sixty million, one hundred twenty-six thousand, four hundred".