73431671040 has 1440 divisors, whose sum is σ = 332735859456. Its totient is φ = 15049359360.

The previous prime is 73431670957. The next prime is 73431671087. The reversal of 73431671040 is 4017613437.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 73431670986 and 73431671004.

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 159 ways as a sum of consecutive naturals, for example, 405699750 + ... + 405699930.

Almost surely, 2^73431671040 is an apocalyptic number.

73431671040 is a gapful number since it is divisible by the number (70) 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 73431671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166367929728).

73431671040 is an abundant number, since it is smaller than the sum of its proper divisors (259304188416).

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

73431671040 is a wasteful number, since it uses less digits than its factorization.

73431671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 73431671040 in words is "seventy-three billion, four hundred thirty-one million, six hundred seventy-one thousand, forty".