40378135616 has 560 divisors, whose sum is σ = 112950437040. Its totient is φ = 14161674240.

The previous prime is 40378135573. The next prime is 40378135649. The reversal of 40378135616 is 61653187304.

It can be written as a sum of positive squares in 8 ways, for example, as 3933798400 + 36444337216 = 62720^2 + 190904^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 984832556 + ... + 984832596.

It is an arithmetic number, because the mean of its divisors is an integer number (201697209).

Almost surely, 2^40378135616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40378135616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56475218520).

40378135616 is an abundant number, since it is smaller than the sum of its proper divisors (72572301424).

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

40378135616 is a wasteful number, since it uses less digits than its factorization.

40378135616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 40378135616 in words is "forty billion, three hundred seventy-eight million, one hundred thirty-five thousand, six hundred sixteen".