1955417490432 has 880 divisors, whose sum is σ = 6880007743488. Its totient is φ = 541637591040.

The previous prime is 1955417490373. The next prime is 1955417490469. The reversal of 1955417490432 is 2340947145591.

1955417490432 is a `hidden beast` number, since 1 + 9 + 5 + 54 + 1 + 74 + 90 + 432 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3574803183 + ... + 3574803729.

Almost surely, 2^{1955417490432} is an apocalyptic number.

1955417490432 is a gapful number since it is divisible by the number (12) 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 1955417490432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440003871744).

1955417490432 is an abundant number, since it is smaller than the sum of its proper divisors (4924590253056).

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

1955417490432 is a wasteful number, since it uses less digits than its factorization.

1955417490432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1955417490432 in words is "one trillion, nine hundred fifty-five billion, four hundred seventeen million, four hundred ninety thousand, four hundred thirty-two".