146040081408000 has 4480 divisors, whose sum is σ = 643388990340096. Its totient is φ = 32614907904000.

The previous prime is 146040081407977. The next prime is 146040081408019. The reversal of 146040081408000 is 804180040641.

146040081408000 is a `hidden beast` number, since 1 + 4 + 60 + 400 + 81 + 40 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 568249343872 + ... + 568249344128.

Almost surely, 2^{146040081408000} is an apocalyptic number.

146040081408000 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 146040081408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321694495170048).

146040081408000 is an abundant number, since it is smaller than the sum of its proper divisors (497348908932096).

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

146040081408000 is a wasteful number, since it uses less digits than its factorization.

146040081408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 146040081408000 in words is "one hundred forty-six trillion, forty billion, eighty-one million, four hundred eight thousand".