402394237440 has 640 divisors, whose sum is σ = 1464116290560. Its totient is φ = 93568892928.

The previous prime is 402394237439. The next prime is 402394237457. The reversal of 402394237440 is 44732493204.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×402394237440² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 402394237392 and 402394237401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136080442 + ... + 136083398.

It is an arithmetic number, because the mean of its divisors is an integer number (2287681704).

Almost surely, 2^402394237440 is an apocalyptic number.

402394237440 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 402394237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732058145280).

402394237440 is an abundant number, since it is smaller than the sum of its proper divisors (1061722053120).

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

402394237440 is a wasteful number, since it uses less digits than its factorization.

402394237440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 402394237440 in words is "four hundred two billion, three hundred ninety-four million, two hundred thirty-seven thousand, four hundred forty".