40029579240 has 512 divisors, whose sum is σ = 151289856000. Its totient is φ = 8268189696.

The previous prime is 40029579229. The next prime is 40029579287. The reversal of 40029579240 is 4297592004.

40029579240 = T₁₄₅₀₄ + T₁₄₅₀₅ + ... + T₁₄₈₇₄.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 40029579192 and 40029579201.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31296921 + ... + 31298199.

It is an arithmetic number, because the mean of its divisors is an integer number (295488000).

Almost surely, 2^40029579240 is an apocalyptic number.

40029579240 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 40029579240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75644928000).

40029579240 is an abundant number, since it is smaller than the sum of its proper divisors (111260276760).

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

40029579240 is a wasteful number, since it uses less digits than its factorization.

40029579240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 40029579240 in words is "forty billion, twenty-nine million, five hundred seventy-nine thousand, two hundred forty".