40769016837120 has 3872 divisors, whose sum is σ = 184221477667584. Its totient is φ = 8513637580800.

The previous prime is 40769016837067. The next prime is 40769016837137. The reversal of 40769016837120 is 2173861096704.

40769016837120 is a `hidden beast` number, since 4 + 0 + 7 + 6 + 90 + 168 + 371 + 20 = 666.

It is a super-2 number, since 2×40769016837120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 351 ways as a sum of consecutive naturals, for example, 994366264300 + ... + 994366264340.

Almost surely, 2^{40769016837120} is an apocalyptic number.

40769016837120 is a gapful number since it is divisible by the number (40) 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 40769016837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92110738833792).

40769016837120 is an abundant number, since it is smaller than the sum of its proper divisors (143452460830464).

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

40769016837120 is a wasteful number, since it uses less digits than its factorization.

40769016837120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 40769016837120 in words is "forty trillion, seven hundred sixty-nine billion, sixteen million, eight hundred thirty-seven thousand, one hundred twenty".