40040215741440 has 2112 divisors, whose sum is σ = 159565653112320. Its totient is φ = 9226546053120.

The previous prime is 40040215741381. The next prime is 40040215741529. The reversal of 40040215741440 is 4414751204004.

40040215741440 is a `hidden beast` number, since 4 + 0 + 0 + 40 + 2 + 1 + 574 + 1 + 4 + 40 = 666.

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 = 40040215741395 and 40040215741404.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49493467756 + ... + 49493468564.

Almost surely, 2^{40040215741440} is an apocalyptic number.

40040215741440 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 40040215741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79782826556160).

40040215741440 is an abundant number, since it is smaller than the sum of its proper divisors (119525437370880).

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

40040215741440 is a wasteful number, since it uses less digits than its factorization.

40040215741440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

Adding to 40040215741440 its reverse (4414751204004), we get a palindrome (44454966945444).

The spelling of 40040215741440 in words is "forty trillion, forty billion, two hundred fifteen million, seven hundred forty-one thousand, four hundred forty".