46542942714240 has 1344 divisors, whose sum is σ = 195554261398320. Its totient is φ = 10556498534400.

The previous prime is 46542942714197. The next prime is 46542942714263. The reversal of 46542942714240 is 4241724924564.

46542942714240 is a `hidden beast` number, since 4 + 6 + 5 + 4 + 294 + 271 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 167 ways as a sum of consecutive naturals, for example, 2994840870 + ... + 2994856410.

Almost surely, 2^{46542942714240} is an apocalyptic number.

46542942714240 is a gapful number since it is divisible by the number (40) 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 46542942714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97777130699160).

46542942714240 is an abundant number, since it is smaller than the sum of its proper divisors (149011318684080).

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

46542942714240 is a wasteful number, since it uses less digits than its factorization.

46542942714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15723 (or 15689 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 46542942714240 in words is "forty-six trillion, five hundred forty-two billion, nine hundred forty-two million, seven hundred fourteen thousand, two hundred forty".