40838148771840 has 1248 divisors, whose sum is σ = 163942576152576. Its totient is φ = 9210207928320.

The previous prime is 40838148771683. The next prime is 40838148771877. The reversal of 40838148771840 is 4817784183804.

40838148771840 is a `hidden beast` number, since 4 + 0 + 8 + 3 + 8 + 1 + 487 + 71 + 84 + 0 = 666.

It is a super-2 number, since 2×40838148771840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64719728325 + ... + 64719728955.

It is an arithmetic number, because the mean of its divisors is an integer number (131364243712).

Almost surely, 2^{40838148771840} is an apocalyptic number.

40838148771840 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 40838148771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81971288076288).

40838148771840 is an abundant number, since it is smaller than the sum of its proper divisors (123104427380736).

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

40838148771840 is a wasteful number, since it uses less digits than its factorization.

40838148771840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 63.

The spelling of 40838148771840 in words is "forty trillion, eight hundred thirty-eight billion, one hundred forty-eight million, seven hundred seventy-one thousand, eight hundred forty".