40424164000000 has 945 divisors, whose sum is σ = 117793503610573. Its totient is φ = 13835008000000.

The previous prime is 40424163999971. The next prime is 40424164000019. The reversal of 40424164000000 is 46142404.

The square root of 40424164000000 is 6358000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 17 ways, for example, as 26768951472384 + 13655212527616 = 5173872^2 + 3695296^2 .

It is a super-2 number, since 2×40424164000000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 2377891999992 + ... + 2377892000008.

Almost surely, 2^{40424164000000} is an apocalyptic number.

40424164000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40424164000000 is the 6358000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40424164000000

40424164000000 is an abundant number, since it is smaller than the sum of its proper divisors (77369339610573).

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

40424164000000 is an frugal number, since it uses more digits than its factorization.

40424164000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

40424164000000 divided by its sum of digits (25) gives a square (1616966560000 = 1271600²).

The spelling of 40424164000000 in words is "forty trillion, four hundred twenty-four billion, one hundred sixty-four million", and thus it is an aban number.