1954065409920 has 768 divisors, whose sum is σ = 7565936414400. Its totient is φ = 479079235584.

The previous prime is 1954065409897. The next prime is 1954065409937. The reversal of 1954065409920 is 299045604591.

1954065409920 is a `hidden beast` number, since 1 + 9 + 5 + 4 + 0 + 6 + 540 + 9 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 543851644 + ... + 543855236.

Almost surely, 2^{1954065409920} is an apocalyptic number.

1954065409920 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 1954065409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782968207200).

1954065409920 is an abundant number, since it is smaller than the sum of its proper divisors (5611871004480).

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

1954065409920 is a wasteful number, since it uses less digits than its factorization.

1954065409920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 1954065409920 in words is "one trillion, nine hundred fifty-four billion, sixty-five million, four hundred nine thousand, nine hundred twenty".