1854406794240 has 2112 divisors, whose sum is σ = 8952740858880. Its totient is φ = 355451535360.

The previous prime is 1854406794197. The next prime is 1854406794269. The reversal of 1854406794240 is 424976044581.

1854406794240 is a `hidden beast` number, since 1 + 8 + 544 + 0 + 6 + 7 + 94 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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 191 ways as a sum of consecutive naturals, for example, 1245403416 + ... + 1245404904.

Almost surely, 2^{1854406794240} is an apocalyptic number.

1854406794240 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 1854406794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4476370429440).

1854406794240 is an abundant number, since it is smaller than the sum of its proper divisors (7098334064640).

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

1854406794240 is a wasteful number, since it uses less digits than its factorization.

1854406794240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 1854406794240 in words is "one trillion, eight hundred fifty-four billion, four hundred six million, seven hundred ninety-four thousand, two hundred forty".