147952405440 has 1792 divisors, whose sum is σ = 665179914240. Its totient is φ = 30218158080.

The previous prime is 147952405439. The next prime is 147952405481. The reversal of 147952405440 is 44504259741.

147952405440 is a `hidden beast` number, since 1 + 4 + 79 + 524 + 0 + 54 + 4 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 2026745244 + ... + 2026745316.

Almost surely, 2^147952405440 is an apocalyptic number.

147952405440 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 147952405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332589957120).

147952405440 is an abundant number, since it is smaller than the sum of its proper divisors (517227508800).

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

147952405440 is a wasteful number, since it uses less digits than its factorization.

147952405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 147952405440 in words is "one hundred forty-seven billion, nine hundred fifty-two million, four hundred five thousand, four hundred forty".