46427821440000 has 7040 divisors, whose sum is σ = 232055518464000. Its totient is φ = 8092385280000.

The previous prime is 46427821439969. The next prime is 46427821440031. The reversal of 46427821440000 is 4412872464.

It is an interprime number because it is at equal distance from previous prime (46427821439969) and next prime (46427821440031).

It is a tau number, because it is divible by the number of its divisors (7040).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1600959359986 + ... + 1600959360014.

It is an arithmetic number, because the mean of its divisors is an integer number (32962431600).

Almost surely, 2^{46427821440000} is an apocalyptic number.

46427821440000 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 46427821440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116027759232000).

46427821440000 is an abundant number, since it is smaller than the sum of its proper divisors (185627697024000).

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

46427821440000 is a wasteful number, since it uses less digits than its factorization.

46427821440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The spelling of 46427821440000 in words is "forty-six trillion, four hundred twenty-seven billion, eight hundred twenty-one million, four hundred forty thousand".