1003673401000 has 64 divisors (see below), whose sum is σ = 2349184153680. Its totient is φ = 401368780800.

The previous prime is 1003673400973. The next prime is 1003673401007. The reversal of 1003673401000 is 1043763001.

It can be written as a sum of positive squares in 8 ways, for example, as 175649839236 + 828023561764 = 419106^2 + 909958^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1003673401007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3933304 + ... + 4180696.

Almost surely, 2^{1003673401000} is an apocalyptic number.

1003673401000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003673401000 is an abundant number, since it is smaller than the sum of its proper divisors (1345510752680).

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

1003673401000 is a wasteful number, since it uses less digits than its factorization.

1003673401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251471 (or 251457 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The spelling of 1003673401000 in words is "one trillion, three billion, six hundred seventy-three million, four hundred one thousand".