40034034021240 has 384 divisors, whose sum is σ = 157466415899520. Its totient is φ = 8611179724800.

The previous prime is 40034034021221. The next prime is 40034034021349. The reversal of 40034034021240 is 4212043043004.

It is a happy number.

40034034021240 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 403 + 4 + 0 + 212 + 40 = 666.

It is a super-2 number, since 2×40034034021240² (a number of 28 digits) contains 22 as substring.

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, 331564080 + ... + 331684800.

It is an arithmetic number, because the mean of its divisors is an integer number (410068791405).

Almost surely, 2^{40034034021240} is an apocalyptic number.

40034034021240 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 40034034021240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78733207949760).

40034034021240 is an abundant number, since it is smaller than the sum of its proper divisors (117432381878280).

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

40034034021240 is a wasteful number, since it uses less digits than its factorization.

40034034021240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128503 (or 128496 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 40034034021240 its reverse (4212043043004), we get a palindrome (44246077064244).

The spelling of 40034034021240 in words is "forty trillion, thirty-four billion, thirty-four million, twenty-one thousand, two hundred forty".