1679440712040 has 1536 divisors, whose sum is σ = 7431666278400. Its totient is φ = 318823464960.

The previous prime is 1679440712021. The next prime is 1679440712051. The reversal of 1679440712040 is 402170449761.

1679440712040 is a `hidden beast` number, since 16 + 79 + 4 + 407 + 120 + 40 = 666.

It is a super-2 number, since 2×1679440712040² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1536541734 + ... + 1536542826.

It is an arithmetic number, because the mean of its divisors is an integer number (4838324400).

Almost surely, 2^{1679440712040} is an apocalyptic number.

1679440712040 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 1679440712040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3715833139200).

1679440712040 is an abundant number, since it is smaller than the sum of its proper divisors (5752225566360).

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

1679440712040 is a wasteful number, since it uses less digits than its factorization.

1679440712040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1679440712040 in words is "one trillion, six hundred seventy-nine billion, four hundred forty million, seven hundred twelve thousand, forty".