46426423680000 has 2640 divisors, whose sum is σ = 215192817455616. Its totient is φ = 9367142400000.

The previous prime is 46426423679981. The next prime is 46426423680019. The reversal of 46426423680000 is 8632462464.

It is an interprime number because it is at equal distance from previous prime (46426423679981) and next prime (46426423680019).

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 239 ways as a sum of consecutive naturals, for example, 12055678075 + ... + 12055681925.

Almost surely, 2^{46426423680000} is an apocalyptic number.

46426423680000 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 46426423680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107596408727808).

46426423680000 is an abundant number, since it is smaller than the sum of its proper divisors (168766393775616).

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

46426423680000 is a wasteful number, since it uses less digits than its factorization.

46426423680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3940 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 46426423680000 in words is "forty-six trillion, four hundred twenty-six billion, four hundred twenty-three million, six hundred eighty thousand".