1954041122880 has 2240 divisors, whose sum is σ = 9105745600512. Its totient is φ = 385968291840.

The previous prime is 1954041122857. The next prime is 1954041122881. The reversal of 1954041122880 is 882211404591.

1954041122880 is a `hidden beast` number, since 1 + 9 + 5 + 4 + 0 + 411 + 228 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×1954041122880² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1954041122881) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3470765479 + ... + 3470766041.

Almost surely, 2^{1954041122880} is an apocalyptic number.

1954041122880 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 1954041122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4552872800256).

1954041122880 is an abundant number, since it is smaller than the sum of its proper divisors (7151704477632).

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

1954041122880 is a wasteful number, since it uses less digits than its factorization.

1954041122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 1954041122880 in words is "one trillion, nine hundred fifty-four billion, forty-one million, one hundred twenty-two thousand, eight hundred eighty".