146414733978240 has 4096 divisors, whose sum is σ = 673788616704000. Its totient is φ = 29229200179200.

The previous prime is 146414733978169. The next prime is 146414733978269. The reversal of 146414733978240 is 42879337414641.

It is a happy number.

146414733978240 is a `hidden beast` number, since 1 + 4 + 6 + 41 + 473 + 3 + 9 + 7 + 82 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 639365650446 + ... + 639365650674.

It is an arithmetic number, because the mean of its divisors is an integer number (164499174000).

Almost surely, 2^{146414733978240} is an apocalyptic number.

146414733978240 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 146414733978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336894308352000).

146414733978240 is an abundant number, since it is smaller than the sum of its proper divisors (527373882725760).

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

146414733978240 is a wasteful number, since it uses less digits than its factorization.

146414733978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 146414733978240 in words is "one hundred forty-six trillion, four hundred fourteen billion, seven hundred thirty-three million, nine hundred seventy-eight thousand, two hundred forty".