1954653112440 has 256 divisors, whose sum is σ = 7458383923200. Its totient is φ = 446052676608.

The previous prime is 1954653112337. The next prime is 1954653112453. The reversal of 1954653112440 is 442113564591.

1954653112440 is a `hidden beast` number, since 1 + 9 + 5 + 46 + 53 + 112 + 440 = 666.

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 63 ways as a sum of consecutive naturals, for example, 4454997 + ... + 4874043.

It is an arithmetic number, because the mean of its divisors is an integer number (29134312200).

Almost surely, 2^{1954653112440} is an apocalyptic number.

1954653112440 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 1954653112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729191961600).

1954653112440 is an abundant number, since it is smaller than the sum of its proper divisors (5503730810760).

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

1954653112440 is a wasteful number, since it uses less digits than its factorization.

1954653112440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419691 (or 419681 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1954653112440 in words is "one trillion, nine hundred fifty-four billion, six hundred fifty-three million, one hundred twelve thousand, four hundred forty".