402010103040 has 2304 divisors, whose sum is σ = 1803879383040. Its totient is φ = 73893150720.

The previous prime is 402010103021. The next prime is 402010103119. The reversal of 402010103040 is 40301010204.

It is a super-2 number, since 2×402010103040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6813730531 + ... + 6813730589.

It is an arithmetic number, because the mean of its divisors is an integer number (782933760).

Almost surely, 2^402010103040 is an apocalyptic number.

402010103040 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 402010103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901939691520).

402010103040 is an abundant number, since it is smaller than the sum of its proper divisors (1401869280000).

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

402010103040 is a wasteful number, since it uses less digits than its factorization.

402010103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 402010103040 its reverse (40301010204), we get a palindrome (442311113244).

The spelling of 402010103040 in words is "four hundred two billion, ten million, one hundred three thousand, forty".