1954403942400 has 1536 divisors, whose sum is σ = 8846658777600. Its totient is φ = 411933081600.

The previous prime is 1954403942377. The next prime is 1954403942417. The reversal of 1954403942400 is 42493044591.

1954403942400 is a `hidden beast` number, since 19 + 5 + 4 + 4 + 0 + 394 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 95 ways as a sum of consecutive naturals, for example, 2012773915 + ... + 2012774885.

It is an arithmetic number, because the mean of its divisors is an integer number (5759543475).

Almost surely, 2^{1954403942400} is an apocalyptic number.

1954403942400 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 1954403942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4423329388800).

1954403942400 is an abundant number, since it is smaller than the sum of its proper divisors (6892254835200).

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

1954403942400 is an equidigital number, since it uses as much as digits as its factorization.

1954403942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

Adding to 1954403942400 its reverse (42493044591), we get a palindrome (1996896986991).

The spelling of 1954403942400 in words is "one trillion, nine hundred fifty-four billion, four hundred three million, nine hundred forty-two thousand, four hundred".