1954338402240 has 672 divisors, whose sum is σ = 8024578937856. Its totient is φ = 426849730560.

The previous prime is 1954338402197. The next prime is 1954338402253. The reversal of 1954338402240 is 422048334591.

1954338402240 is a `hidden beast` number, since 1 + 9 + 5 + 43 + 384 + 0 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 709892704 + ... + 709895456.

Almost surely, 2^{1954338402240} is an apocalyptic number.

1954338402240 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 1954338402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4012289468928).

1954338402240 is an abundant number, since it is smaller than the sum of its proper divisors (6070240535616).

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

1954338402240 is a wasteful number, since it uses less digits than its factorization.

1954338402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4337 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 1954338402240 in words is "one trillion, nine hundred fifty-four billion, three hundred thirty-eight million, four hundred two thousand, two hundred forty".