147006397440 has 1056 divisors, whose sum is σ = 606986265600. Its totient is φ = 32875315200.

The previous prime is 147006397429. The next prime is 147006397469. The reversal of 147006397440 is 44793600741.

147006397440 is a `hidden beast` number, since 1 + 4 + 7 + 0 + 0 + 639 + 7 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×147006397440² (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1122186175 + ... + 1122186305.

It is an arithmetic number, because the mean of its divisors is an integer number (574797600).

Almost surely, 2^147006397440 is an apocalyptic number.

147006397440 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 147006397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303493132800).

147006397440 is an abundant number, since it is smaller than the sum of its proper divisors (459979868160).

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

147006397440 is a wasteful number, since it uses less digits than its factorization.

147006397440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

It can be divided in two parts, 147006 and 397440, that added together give a triangular number (544446 = T₁₀₄₃).

The spelling of 147006397440 in words is "one hundred forty-seven billion, six million, three hundred ninety-seven thousand, four hundred forty".