400440307416240 has 1920 divisors, whose sum is σ = 1590069038568192. Its totient is φ = 82617638584320.

The previous prime is 400440307416217. The next prime is 400440307416349. The reversal of 400440307416240 is 42614703044004.

It is a super-2 number, since 2×400440307416240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 518034032494 + ... + 518034033266.

Almost surely, 2^{400440307416240} is an apocalyptic number.

400440307416240 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 400440307416240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795034519284096).

400440307416240 is an abundant number, since it is smaller than the sum of its proper divisors (1189628731151952).

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

400440307416240 is a wasteful number, since it uses less digits than its factorization.

400440307416240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 39.

The spelling of 400440307416240 in words is "four hundred trillion, four hundred forty billion, three hundred seven million, four hundred sixteen thousand, two hundred forty".