39025428480 has 1152 divisors, whose sum is σ = 161761017600. Its totient is φ = 8875671552.

The previous prime is 39025428469. The next prime is 39025428487. The reversal of 39025428480 is 8482452093.

39025428480 is a `hidden beast` number, since 390 + 254 + 2 + 8 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×39025428480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (39025428487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1696757749 + ... + 1696757771.

It is an arithmetic number, because the mean of its divisors is an integer number (140417550).

Almost surely, 2^39025428480 is an apocalyptic number.

39025428480 is a gapful number since it is divisible by the number (30) 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 39025428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80880508800).

39025428480 is an abundant number, since it is smaller than the sum of its proper divisors (122735589120).

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

39025428480 is a wasteful number, since it uses less digits than its factorization.

39025428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 39025428480 in words is "thirty-nine billion, twenty-five million, four hundred twenty-eight thousand, four hundred eighty".