146211402240 has 1600 divisors, whose sum is σ = 609606518400. Its totient is φ = 33251917824.

The previous prime is 146211402229. The next prime is 146211402307. The reversal of 146211402240 is 42204112641.

146211402240 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 11 + 402 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2478159331 + ... + 2478159389.

It is an arithmetic number, because the mean of its divisors is an integer number (381004074).

Almost surely, 2^146211402240 is an apocalyptic number.

146211402240 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 146211402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304803259200).

146211402240 is an abundant number, since it is smaller than the sum of its proper divisors (463395116160).

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

146211402240 is a wasteful number, since it uses less digits than its factorization.

146211402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 146211402240 its reverse (42204112641), we get a palindrome (188415514881).

The spelling of 146211402240 in words is "one hundred forty-six billion, two hundred eleven million, four hundred two thousand, two hundred forty".